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Finding the Fourth Proportional to 33,207, 45,825.74 and 18,099.83

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Solution

The fourth proportional to 33,207, 45,825.74 and 18,099.83 is: 24,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,207 : 45,825.74 = 18,099.83 : x
  2. Step 2: Convert to fraction form
    33,207/45,825.74 = 18,099.83/x
  3. Step 3: Cross multiply
    33,207x = 45,825.74 × 18,099.83
  4. Step 4: Simplify right side
    33,207x = 829,437,784.00
  5. Step 5: Solve for x
    x = 829,437,784.00/33,207
  6. Step 6: Final answer
    x = 24,977.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.